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Theorems · Inductive type · group theory

FiniteGrp

Type (u + 1)

The category of finite groups.

Defined in
Mathlib.Algebra.Category.Grp.FiniteGrp
Cited by
11 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

InfiniteGalois.asProfiniteGaloisGroupFunctor · cited by 13InfiniteGalois.asProfinit…ProfiniteGrp.diagram · cited by 10ProfiniteGrp.diagramFiniteGrp.toGrp · cited by 6FiniteGrp.toGrpProfiniteGrp.toFiniteQuotientFunctor · cited by 3ProfiniteGrp.toFiniteQuot…ProfiniteGrp.ProfiniteCompletion.diagram · cited by 2ProfiniteCompletion.diagr…finGaloisGroupFunctor · cited by 2finGaloisGroupFunctorfinGaloisGroupMap · cited by 2finGaloisGroupMapFiniteGaloisIntermediateField.finGaloisGroup · cited by 2FiniteGaloisIntermediateF…FiniteGrp.of · cited by 1FiniteGrp.ofFiniteGrp.ofHom · cited by 1FiniteGrp.ofHomInfiniteGalois.finGaloisGroupFunctor_map_proj_eq_proj · cited by 1InfiniteGalois.finGaloisG…ProfiniteGrp.ProfiniteCompletion.quotientMap · cited by 1ProfiniteCompletion.quoti…ProfiniteGrp.ofFiniteGrpHom · cited by 1ProfiniteGrp.ofFiniteGrpH…InfiniteGalois.proj_of_le · cited by 1InfiniteGalois.proj_of_leFiniteGrp.mk.inj · cited by 1mk.injFiniteGrpCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by31

Results whose statement or proof uses this declaration.